SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0/1 1 9 0.020000 In 0.013333 0.026667 -49/1 1/0 1 9 0.020409 In 0.020270 0.020548 -48/1 0/1 1 9 0.020833 In 0.013889 0.027778 -47/1 1/0 1 9 0.021278 In 0.021127 0.021429 -46/1 0/1 1 9 0.021739 In 0.014493 0.028986 -45/1 1/0 1 9 0.022223 In 0.022059 0.022388 -44/1 0/1 1 9 0.022727 In 0.015152 0.030303 -43/1 1/0 1 9 0.023257 In 0.023077 0.023438 -42/1 0/1 1 9 0.023810 In 0.015873 0.031746 -41/1 1/0 1 9 0.024392 In 0.024194 0.024590 -40/1 0/1 1 9 0.025000 In 0.016667 0.033333 -39/1 1/0 1 9 0.025643 In 0.025424 0.025862 -38/1 0/1 1 9 0.026316 In 0.017544 0.035088 -37/1 1/0 1 9 0.027029 In 0.026786 0.027273 -36/1 0/1 1 9 0.027778 In 0.018519 0.037037 -35/1 1/0 1 9 0.028574 In 0.028302 0.028846 -34/1 0/1 1 9 0.029412 In 0.019608 0.039216 -33/1 1/0 1 9 0.030306 In 0.030000 0.030612 -32/1 0/1 1 9 0.031250 In 0.020833 0.041667 -31/1 1/0 1 9 0.032262 In 0.031915 0.032609 -30/1 0/1 1 9 0.033333 In 0.022222 0.044444 -29/1 1/0 1 9 0.034487 In 0.034091 0.034884 -28/1 0/1 1 9 0.035714 In 0.023810 0.047619 -27/1 1/0 1 9 0.037043 In 0.036585 0.037500 -26/1 0/1 1 9 0.038462 In 0.025641 0.051282 -25/1 1/0 1 9 0.040007 In 0.039474 0.040541 -24/1 0/1 1 9 0.041667 In 0.027778 0.055556 -23/1 1/0 1 9 0.043487 In 0.042857 0.044118 -22/1 0/1 1 9 0.045455 In 0.030303 0.060606 -21/1 1/0 1 9 0.047631 In 0.046875 0.048387 -20/1 0/1 1 9 0.050000 In 0.033333 0.066667 -19/1 1/0 1 9 0.052648 In 0.051724 0.053571 -18/1 0/1 1 9 0.055556 In 0.037037 0.074074 -17/1 1/0 1 9 0.058846 In 0.057692 0.060000 -16/1 0/1 1 9 0.062500 In 0.041667 0.083333 -15/1 1/0 1 9 0.066700 In 0.065217 0.068182 -14/1 0/1 1 9 0.071429 In 0.047619 0.095238 -13/1 1/0 1 9 0.076974 In 0.075000 0.078947 -12/1 0/1 1 9 0.083333 In 0.055556 0.111111 -11/1 1/0 1 9 0.090993 In 0.088235 0.093750 -10/1 0/1 1 9 0.100000 In 0.066667 0.133333 -9/1 1/0 1 9 0.111264 In 0.107143 0.115385 -8/1 0/1 1 9 0.125000 In 0.083333 0.166667 -7/1 1/0 1 9 0.143182 In 0.136364 0.150000 -6/1 0/1 1 9 0.166667 In 0.111111 0.222222 -5/1 1/0 1 9 0.200893 In 0.187500 0.214286 -4/1 0/1 1 9 0.250000 In 0.166667 0.333333 -3/1 1/0 1 9 0.337500 In 0.300000 0.375000 -2/1 0/1 1 9 0.500000 In 0.333333 0.666667 -1/1 1/0 1 9 1.125000 In 0.750000 1.500000 0/1 0/1 1 9 1/1 1/0 1 9 -1.125000 In -1.500000 -0.750000 2/1 0/1 1 9 -0.500000 In -0.666667 -0.333333 3/1 1/0 1 9 -0.337500 In -0.375000 -0.300000 4/1 0/1 1 9 -0.250000 In -0.333333 -0.166667 5/1 1/0 1 9 -0.200893 In -0.214286 -0.187500 6/1 0/1 1 9 -0.166667 In -0.222222 -0.111111 7/1 1/0 1 9 -0.143182 In -0.150000 -0.136364 8/1 0/1 1 9 -0.125000 In -0.166667 -0.083333 9/1 1/0 1 9 -0.111264 In -0.115385 -0.107143 10/1 0/1 1 9 -0.100000 In -0.133333 -0.066667 11/1 1/0 1 9 -0.090993 In -0.093750 -0.088235 12/1 0/1 1 9 -0.083333 In -0.111111 -0.055556 13/1 1/0 1 9 -0.076974 In -0.078947 -0.075000 14/1 0/1 1 9 -0.071429 In -0.095238 -0.047619 15/1 1/0 1 9 -0.066700 In -0.068182 -0.065217 16/1 0/1 1 9 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38/1 0/1 1 9 -0.026316 In -0.035088 -0.017544 39/1 1/0 1 9 -0.025643 In -0.025862 -0.025424 40/1 0/1 1 9 -0.025000 In -0.033333 -0.016667 41/1 1/0 1 9 -0.024392 In -0.024590 -0.024194 42/1 0/1 1 9 -0.023810 In -0.031746 -0.015873 43/1 1/0 1 9 -0.023257 In -0.023438 -0.023077 44/1 0/1 1 9 -0.022727 In -0.030303 -0.015152 45/1 1/0 1 9 -0.022223 In -0.022388 -0.022059 46/1 0/1 1 9 -0.021739 In -0.028986 -0.014493 47/1 1/0 1 9 -0.021278 In -0.021429 -0.021127 48/1 0/1 1 9 -0.020833 In -0.027778 -0.013889 49/1 1/0 1 9 -0.020409 In -0.020548 -0.020270 50/1 0/1 1 9 -0.020000 In -0.026667 -0.013333 -49/2 -1/1 1 9 0.040772 In 0.034247 0.047297 -47/2 1/1 1 9 0.042606 In 0.035211 0.050000 -45/2 -1/1 1 9 0.044392 In 0.037313 0.051471 -43/2 1/1 1 9 0.046575 In 0.038462 0.054688 -41/2 -1/1 1 9 0.048718 In 0.040984 0.056452 -39/2 1/1 1 9 0.051359 In 0.042373 0.060345 -37/2 -1/1 1 9 0.053977 In 0.045455 0.062500 -35/2 1/1 1 9 0.057239 In 0.047170 0.067308 -33/2 -1/1 1 9 0.060510 In 0.051020 0.070000 -31/2 1/1 1 9 0.064639 In 0.053191 0.076087 -29/2 -1/1 1 9 0.068842 In 0.058140 0.079545 -27/2 1/1 1 9 0.074238 In 0.060976 0.087500 -25/2 -1/1 1 9 0.079836 In 0.067568 0.092105 -23/2 1/1 1 9 0.087185 In 0.071429 0.102941 -21/2 -1/1 1 9 0.095010 In 0.080645 0.109375 -19/2 1/1 1 9 0.105603 In 0.086207 0.125000 -17/2 -1/1 1 9 0.117308 In 0.100000 0.134615 -15/2 1/1 1 9 0.133893 In 0.108696 0.159091 -13/2 -1/1 1 9 0.153289 In 0.131579 0.175000 -11/2 1/1 1 9 0.182904 In 0.147059 0.218750 -9/2 -1/1 1 9 0.221154 In 0.192308 0.250000 -7/2 1/1 1 9 0.288636 In 0.227273 0.350000 -5/2 -1/1 1 9 0.397321 In 0.357143 0.437500 -3/2 1/1 1 9 0.687500 In 0.500000 0.875000 -1/2 -1/1 1 9 2.125000 In 1.750000 2.500000 1/2 1/1 1 9 -2.125000 In -2.500000 -1.750000 3/2 -1/1 1 9 -0.687500 In -0.875000 -0.500000 5/2 1/1 1 9 -0.397321 In -0.437500 -0.357143 7/2 -1/1 1 9 -0.288636 In -0.350000 -0.227273 9/2 1/1 1 9 -0.221154 In -0.250000 -0.192308 11/2 -1/1 1 9 -0.182904 In -0.218750 -0.147059 13/2 1/1 1 9 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0.076114 -46/3 1/0 1 3 0.065228 In 0.064409 0.066046 -44/3 1/0 1 3 0.068194 In 0.067299 0.069088 -43/3 0/1 1 3 0.069767 In 0.056341 0.083194 -41/3 0/1 1 3 0.073171 In 0.059089 0.087252 -40/3 1/0 1 3 0.075016 In 0.073933 0.076098 -38/3 1/0 1 3 0.078966 In 0.077766 0.080165 -37/3 0/1 1 3 0.081081 In 0.065477 0.096685 -35/3 0/1 1 3 0.085714 In 0.069219 0.102210 -34/3 1/0 1 3 0.088261 In 0.086762 0.089759 -32/3 1/0 1 3 0.093781 In 0.092089 0.095473 -31/3 0/1 1 3 0.096774 In 0.078150 0.115398 -29/3 0/1 1 3 0.103448 In 0.083540 0.123357 -28/3 1/0 1 3 0.107188 In 0.104978 0.109399 -26/3 1/0 1 3 0.115442 In 0.112878 0.118005 -25/3 0/1 1 3 0.120000 In 0.096906 0.143094 -23/3 0/1 1 3 0.130435 In 0.105333 0.155537 -22/3 1/0 1 3 0.136458 In 0.132877 0.140039 -20/3 1/0 1 3 0.150125 In 0.145791 0.154459 -19/3 0/1 1 3 0.157895 In 0.127508 0.188282 -17/3 0/1 1 3 0.176471 In 0.142509 0.210432 -16/3 1/0 1 3 0.187744 In 0.180970 0.194519 -14/3 1/0 1 3 0.214651 In 0.205799 0.223503 -13/3 0/1 1 3 0.230769 In 0.186358 0.275181 -11/3 0/1 1 3 0.272727 In 0.220241 0.325214 -10/3 1/0 1 3 0.301003 In 0.283625 0.318382 -8/3 1/0 1 3 0.376963 In 0.349758 0.404168 -7/3 0/1 1 3 0.428571 In 0.346093 0.511050 -5/3 0/1 1 3 0.600000 In 0.484530 0.715470 -4/3 1/0 1 3 0.765957 In 0.655401 0.876514 -2/3 1/0 1 3 1.636364 In 1.163986 2.108741 -1/3 0/1 1 3 3.000000 In 2.422650 3.577350 1/3 0/1 1 3 -3.000000 In -3.577350 -2.422650 2/3 1/0 1 3 -1.636364 In -2.108741 -1.163986 4/3 1/0 1 3 -0.765957 In -0.876514 -0.655401 5/3 0/1 1 3 -0.600000 In -0.715470 -0.484530 7/3 0/1 1 3 -0.428571 In -0.511050 -0.346093 8/3 1/0 1 3 -0.376963 In -0.404168 -0.349758 10/3 1/0 1 3 -0.301003 In -0.318382 -0.283625 11/3 0/1 1 3 -0.272727 In -0.325214 -0.220241 13/3 0/1 1 3 -0.230769 In -0.275181 -0.186358 14/3 1/0 1 3 -0.214651 In -0.223503 -0.205799 16/3 1/0 1 3 -0.187744 In -0.194519 -0.180970 17/3 0/1 1 3 -0.176471 In -0.210432 -0.142509 19/3 0/1 1 3 -0.157895 In -0.188282 -0.127508 20/3 1/0 1 3 -0.150125 In -0.154459 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